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Search Results: 1 - 10 of 145806 matches for " Yi Li "
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Normality of Meromorphic Functions Family and Shared Set by One-way  [PDF]
Yi Li
Advances in Pure Mathematics (APM) , 2011, DOI: 10.4236/apm.2011.13021
Abstract: We studied the normality criterion for families of meromorphic functions which related to One-way sharing set, and obtain two normal criterions, which improve the previous results.
The Normal Meromorphic Functions Family Concerning Higher Order Derivative and Shared Set by One-Way  [PDF]
Yi Li
Advances in Pure Mathematics (APM) , 2011, DOI: 10.4236/apm.2011.16058
Abstract: Let F be a meromorphic functions family on the unit disc Δ, If for every (the zeros of f is a multiplicity of at least k) and if then and ( ), then F is normal on Δ.
Fixed Point of a Countable Family of Uniformly Totally Quasi- Ø -Asymptotically Nonexpansive Multi-Valued Mappings in Reflexive Banach Spaces with Applications  [PDF]
Yi Li
Applied Mathematics (AM) , 2013, DOI: 10.4236/am.2013.49A002

The purpose of this article is to discuss a modified Halpern-type iteration algorithm for a countable family of uniformly totally quasi- ? -asymptotically nonexpansive multi-valued mappings and establish some strong convergence theorems under certain conditions. We utilize the theorems to study a modified Halpern-type iterative algorithm for a system of equilibrium problems. The results improve and extend the corresponding results of Chang et al. (Applied Mathematics and Computation, 218, 6489-6497).

Convergence Theorems for k-Strictly Pseudononspreading Multivalued in Hilbert Spaces  [PDF]
Hongbo Liu, Yi Li
Advances in Pure Mathematics (APM) , 2014, DOI: 10.4236/apm.2014.47042

We introduce a k-strictly pseudononspreading multivalued in Hilbert spaces more general than the class of nonspreading multivalued. We establish some weak convergence theorems of the sequences generated by our iterative process. Some new iterative sequences for finding a common element of the set of solutions for equilibrium problem was introduced. The results improve and extend the corresponding results of Osilike Isiogugu [1] (Nonlinear Anal.74 (2011)) and others.

Convergence Theorem of Hybrid Iterative Algorithm for Equilibrium Problems and Fixed Point Problems of Finite Families of Uniformly Asymptotically Nonexpansive Semigroups  [PDF]
Hongbo Liu, Yi Li
Advances in Pure Mathematics (APM) , 2014, DOI: 10.4236/apm.2014.46033

Throughout this paper, we introduce a new hybrid iterative algorithm for finding a common element of the set of common fixed points of a finite family of uniformly asymptotically nonexpansive semigroups and the set of solutions of an equilibrium problem in the framework of Hilbert spaces. We then prove the strong convergence theorem with respect to the proposed iterative algorithm. Our results in this paper extend and improve some recent known results.

Excess Coalbed Methane Production Mechanism in the Process of Coal Tectonic Deformation  [PDF]
Yi Luo, Shuying Li
Journal of Geoscience and Environment Protection (GEP) , 2016, DOI: 10.4236/gep.2016.47019
Abstract: Source and occurrence of Excess Coalbed Methane is a long-term concern research topic in Coal Geology and Structural Geology. Since it is essential to understand the outburst mechanism of coal gas, and to support the coalbed methane development projects as the theoretical basis. We found in the study that, huge imparity is behind the evolutionary trend on molecular structure and the mechanism of influence from different deformation. The thesis demonstrates its probable routes of gas evolution according to distinct deformation mechanisms of coal. In the role of brittle deformation mechanism, a rapidly formed advantage rupture surface along with sliding motion from which has worked on coal. As another result, mechanical energy has transformed into friction and kinetic energy during the process. Kinetic energy increases simultaneously, which brings some results, that the new generated gas molecule. While the chemical structure of coal remains in a steady-state and do not react easily an outburst with gas. Mechanical energy turns into strain energy through its ductile deformation mechanism. The dislocation or lamellar slip made disordered between the constitutional units of aromatic rings and aromatic lamellas, as soon as secondary structural defects created. On another hand, molecular motion accelerates and splits off the small molecular on the side chain, due to the dissociation of aromatic nucleus; CH4? gas molecular was generated and placed in the secondary structural defect of coal, along with a great deal of strain energy in non-steady-state. By breaking away the balance maintaining terms, huge strain energy releases suddenly, small moleculars are free from the secondary structure defect, react outburst with gas. Furthermore to extend the discussion of the conventional physical ideas on coal absorb gas, according to the phenomenon of exceeded CBM, the gas molecular has a significant chance existing in a low bond energy of chemical bonds of coal structure.
Improved Video Moving Target Tracking Based on Camshift  [PDF]
Liang Li, Yi Luo
American Journal of Computational Mathematics (AJCM) , 2016, DOI: 10.4236/ajcm.2016.64035
Abstract: Focusing on the failure under the condition of target blocking, the similarity between target color and background color for the Camshift algorithm, an improved algorithm based on Camshift algorithm is proposed. Gaussian mixture model is used to determine the tracking area fast and accurately because it is not sensitive to the external conditions such as light and shadow. Kalman predictor is used to predict the blocked target effectively. The video is processed in the MATLAB environment. The moving target can be tracked and its position can be predicted accurately with the proposed improved algorithm. The results verify the feasibility and effectiveness of the algorithm.
Investigation of Bone Ratios for Prenatal Fetal Assessment in Taiwanese Population  [PDF]
Feng-Yi Yang, Yi -Li Lin
Engineering (ENG) , 2012, DOI: 10.4236/eng.2012.410B038

The purpose of this study is to calculate the ratios of fetal limb bone to nasal bone length (NBL) obtained by transabdominal ultrasound between 19 and 28 weeks of gestation. Cross-sectional data were obtained from 1408 women with singleton pregnancies who underwent an advanced prenatal ultrasound examination from August 2006 to September 2008. The single measurement plane of fetal limb bones was on the longest section of each structure with appropriate image magnification. To assess repeatability of the intraobserver, two repeated measurements were obtained in 44 fetuses. The ratio of fetuses with biparietal diameter (BPD)/NBL was compared with those of fetal limb bones/NBL. The mean ratio was found between fetal NBL measurements and BPD (7.240), humerus length (HL) (4.807), radius length (RL) (4.157), ulna length (UL) (4.502), femur length (FL) (5.131), tibia length (TL) (4.528), and fibula length (FiL) (4.507). The reference ranges of fetal long bone length/NBL ratios for the second trimester was established by transabdominal sonography. There were no significant increases in these ratios with gestational age, especially the HL/NBL ratio.

Strong Convergence Theorems for Modifying Halpern Iterations for Quasi- -Asymptotically Nonexpansive Multivalued Mapping in Banach Spaces with Applications
Li Yi
Journal of Applied Mathematics , 2012, DOI: 10.1155/2012/912545
Abstract: An iterative sequence for quasi- -asymptotically nonexpansive multivalued mapping for modifying Halpern's iterations is introduced. Under suitable conditions, some strong convergence theorems are proved. The results presented in the paper improve and extend the corresponding results in the work by Chang et al. 2011. 1. Introduction Throughout this paper, we denote by and the sets of positive integers and real numbers, respectively. Let be a nonempty closed subset of a real Banach space . A mapping is said to be nonexpansive, if , for all . Let and denote the family of nonempty subsets and nonempty closed bounded subsets of , respectively. The Hausdorff metric on is defined by for , , where . The multivalued mapping is called nonexpansive, if , for all . An element is called a fixed point of , if . The set of fixed points of is represented by . Let be a real Banach space with dual . We denote by the normalized duality mapping from to which is defined by where denotes the generalized duality pairing. A Banach space is said to be strictly convex, if for all with and . A Banach space is said to be uniformly convex, if for any two sequences with and . The norm of Banach space is said to be Gateaux differentiable, if for each , the limit exists, where . In this case, is said to be smooth. The norm of Banach space is said to be Fréchet differentiable, if for each , the limit (1.3) is attained uniformly, for , and the norm is uniformly Fréchet differentiable if the limit (1.3) is attained uniformly for . In this case, is said to be uniformly smooth. Remark 1.1. The following basic properties for Banach space X and for the normalized duality mapping can be found in Cioranescu [1]. (1) ( , resp.) is uniformly convex if and only if ( , resp.) is uniformly smooth.(2)If is smooth, then is single-valued and norm-to-weak* continuous.(3)If is reflexive, then is onto.(4)If is strictly convex, then , for all .(5)If has a Fréchet differentiable norm, then is norm-to-norm continuous.(6)If is uniformly smooth, then is uniformly norm-to-norm continuous on each bounded subset of .(7)Each uniformly convex Banach space has the Kadec-Klee property, that is, for any sequence , if and , then .(8)If is a reflexive and strictly convex Banach space with a strictly convex dual and is the normalized duality mapping in , then , and . Next, we assume that is a smooth, strictly convex, and reflexive Banach space and is a nonempty, closed and convex subset of . In the sequel, we always use to denote the Lyapunov functional defined by It is obvious from the definition of the function that
Time-reversal Invariant SU(2) Hofstadter Problem in Three Dimensional Lattices
Yi Li
Physics , 2014, DOI: 10.1103/PhysRevB.91.195133
Abstract: We formulate the lattice version of the three-dimensional SU(2) Landau level problem with time reversal invariance. By taking a Landau-type gauge, the system is reduced into the one-dimensional SU(2) Harper equation characterized by a periodic spin-dependent gauge potential. The surface spectra indicate the spatial separation of helical states with opposite eigenvalues of the lattice helicty operator. The band topology is investigated from both the analysis of the boundary helical Fermi surfaces and the calculation of the Z2-index based on the bulk wavefunctions. The transition between a 3D weak topological insulator to a strong one is studied as varying the anisotropy of hopping parameters.
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